Rapid spatial equilibration of a particle in a box
Quantum Physics
2015-12-23 v2
Abstract
We study the equilibration behaviour of a quantum particle in a one-dimensional box, with respect to a coarse grained position measurement (whether it lies in a certain spatial window or not). We show that equilibration in this context indeed takes place and does so very rapidly, in a time comparable to the time for the initial wave packet to reach the edges of the box. We also show that, for this situation, the equilibration behaviour is relatively insensitive to the precise choice of position measurements or initial condition.
Cite
@article{arxiv.1506.03851,
title = {Rapid spatial equilibration of a particle in a box},
author = {Artur S. L. Malabarba and Noah Linden and Anthony J. Short},
journal= {arXiv preprint arXiv:1506.03851},
year = {2015}
}
Comments
5 pages and 5 figures in main text